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Finding the Fourth Proportional to 137,307.26, 206,305.96 and 87,409.64

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Solution

The fourth proportional to 137,307.26, 206,305.96 and 87,409.64 is: 131,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,307.26 : 206,305.96 = 87,409.64 : x
  2. Step 2: Convert to fraction form
    137,307.26/206,305.96 = 87,409.64/x
  3. Step 3: Cross multiply
    137,307.26x = 206,305.96 × 87,409.64
  4. Step 4: Simplify right side
    137,307.26x = 18,033,129,693.45
  5. Step 5: Solve for x
    x = 18,033,129,693.45/137,307.26
  6. Step 6: Final answer
    x = 131,334.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.